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Popular >

simplify (e^{1/2})^{ln(x)}

Solution

simplify

(e^{\frac{1}{2}})^{l n (x)}

Solution

x^{\frac{1}{2}}

Solution steps

(e^{\frac{1}{2}})^{l n (x)}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{\frac{1}{2} l n (x)}

Simplify

\frac{1}{2} ln (x) : \frac{ln ( x )}{2}

= e^{\frac{l n ( x )}{2}}

Simplify

= \frac{1}{2} ln (x)

= e^{\frac{1}{2} l n (x)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (e^{l n (x)})^{\frac{1}{2}}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (x)} = x

= x^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is (e^{1/2})^{ln(x)} ?
The solution to (e^{1/2})^{ln(x)} is x^{1/2}